Results 41 to 50 of about 1,187,567 (336)
Which canonical algebras are derived equivalent to incidence algebras of posets? [PDF]
Communications in Algebra 36 (2008), 4599-4606, 2007 We give a full description of all the canonical algebras over an algebraically closed field that are derived equivalent to incidence algebras of finite posets. These are the canonical algebras whose number of weights is either 2 or 3.
arxiv +1 more source
Fermat–Euler Theorem in Algebraic Number Fields [PDF]
, 1996 In this paper a (maximal) generalization of the classical Fermat–Euler theorem for finite commutative rings with identity is proved. Maximal means that we show how to extend the original Fermat–Euler theorem to all of the elements of such rings with the ...
Laššák, Miroslav, Porubský, Štefan
core +1 more source
On the stufe of an algebraic number field
Journal of Number Theory, 1972 AbstractThe stufe, s = s(K), of a field K is the least number such that −1 is the sum of s squares of elements of K; then every element of K is the sum of s + 1 squares. Using the Hasse-Minkowski theorem on quadratic forms, and a simple algebraic identity, one can easily show that the stufe of an algebraic number field, if it exists, is 1, 2, or 4 ...
openaire +2 more sources
Valuations on Structures More General Than Fields
Computer Sciences & Mathematics Forum, 2023 Valuation theory is an important area of investigation in algebra, with applications in algebraic geometry and number theory. In 1957, M. Krasner introduced hyperfields, which are field-like objects with a multivalued addition, to describe some ...
Alessandro Linzi
doaj +1 more source
The Modeling of Cross Flow Runner With Computational Fluid Dynamics on Microhydro Tube [PDF]
E3S Web of Conferences, 2020 The Model of Fluid Dynamics Computation (CFD) aims to obtain cross-tubine flow in microhydro tubes. The parameters used to determine the cross flow turbine power are the blade angle, the number of cross runner blades and the head tube as the production ...
Purwanto, Budiyono, Hermawan, Sudarno
doaj +1 more source
Denominators of algebraic numbers in a number field
Journal of Number Theory, 2015 Abstract Text For any algebraic number γ, let g ( x ) be the unique irreducible polynomial with integral coefficients, whose leading coefficient c ( γ ) is positive, such that g ( γ ) = 0 . Let d ( γ ) be the denominator of γ. We fix a number field K, a prime p, a positive integer k and we study the set of values
Mohamed Ayad +2 more
openaire +3 more sources
Hydrogel‐Based Capacitive Sensor Model for Ammonium Monitoring in Aquaculture
Advanced Engineering Materials, EarlyView.Traditional techniques for monitoring aquaculture water quality, particularly ammonium levels, harm fish. This work presents a novel capacitive sensor with an ionic hydrogel transducer to monitor ammonium concentration in real time based on the ammonium‐induced hydrogel dissociation and osmotic pressure. Monitoring aquaculture water quality, especially
Mohammad Mirzaee +3 more
wiley +1 more source
Geometric representation of interval exchange maps over algebraic number fields
, 2007 We consider the restriction of interval exchange transformations to algebraic number fields, which leads to maps on lattices. We characterize renormalizability arithmetically, and study its relationships with a geometrical quantity that we call the drift
Adamczewski B +25 more
core +1 more source
Advanced Engineering Materials, EarlyView.In this study, exciting new bi‐/multi‐linear elastic behavior of soft elastic composites that accompany the activation of wrinkling in the embedded interfacial layers is analyzed. The new features and performance of these composite materials, including dramatic enhancements in energy storage, can be tailored by the concentration of interfacial layers ...
Narges Kaynia +2 more
wiley +1 more source
Scaling‐down biopharmaceutical production processes via a single multi‐compartment bioreactor (SMCB)
Engineering in Life Sciences, Volume 23, Issue 1, January 2023., 2023 Abstract Biopharmaceutical production processes often use mammalian cells in bioreactors larger than 10,000 L, where gradients of shear stress, substrate, dissolved oxygen and carbon dioxide, and pH are likely to occur. As former tissue cells, producer cell lines such as Chinese hamster ovary (CHO) cells sensitively respond to these mixing ...
Lena Gaugler +5 more
wiley +1 more source